Answer:
The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :
x= -3
Step-by-step explanation:
The vertical asymptote of the logarithmic function are the possible value of the x where the function tends to infinity.
i.e. [tex]\lim_{x \to ?} f(x)\to \infty[/tex]
Here we have the function f(x) as:
[tex]f(x)=3\log (x+3)[/tex]
so when x= -3
we have:
[tex]f(x)=3\log (-3+3)\\\\i.e.\\\\f(x)=3\log (0)\\\\i.e.\\\\f(x)\to \infty[/tex]
Hence, we get the vertical asymptote is: x= -3
